What is expand ((25+5s)(100+300s))/s ?

The solution to expand ((25+5s)(100+300s))/s is (2500)/s+8000+1500s

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expand ((25+5s)(100+300s))/s

expand

\frac{( 25 + 5 s ) ( 100 + 300 s )}{s}

\frac{2500}{s} + 8000 + 1500 s

Solution steps

\frac{( 25 + 5 s ) ( 100 + 300 s )}{s}

Expand

(25 + 5 s) (100 + 300 s) : 2500 + 8000 s + 1500 s^{2}

= \frac{2500 + 8000 s + 1500 s ^{2}}{s}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{2500 + 8000 s + 1500 s ^{2}}{s} = \frac{2500}{s} + \frac{8000 s}{s} + \frac{1500 s ^{2}}{s}

= \frac{2500}{s} + \frac{8000 s}{s} + \frac{1500 s ^{2}}{s}

Cancel

\frac{8000 s}{s} : 8000

= \frac{2500}{s} + 8000 + \frac{1500 s ^{2}}{s}

Cancel

\frac{1500 s ^{2}}{s} : 1500 s

= \frac{2500}{s} + 8000 + 1500 s

\frac{3 x}{x}

\frac{( x + 7 ) 2 x + 6}{2}

s (x + sy + s^{2} z)^{3}

\frac{4 ( a + h )}{( a + h ) - 6}

\frac{k}{s ^{2} ( s + 3 ) ^{2}}

What is expand ((25+5s)(100+300s))/s ?
The solution to expand ((25+5s)(100+300s))/s is (2500)/s+8000+1500s